Question

Solve the system of equations. If the system has no​ solution, say that it is inconsistent. Graph the lines of the system.

2x+y=2
4x+2y=-5
Select the correct choice below​ and, if​ necessary,
a. The solution is
xequals=nothing
and
yequals=nothing.

​(Type integers or simplified​ fractions.)
b. There are infinitely many solutions. Using ordered​ pairs, they can be expressed as
StartSet left parenthesis x comma y right parenthesis vertical line x equals nothing comma y is any real number EndSet{(x,y) x=, y is any real number}.

​(Simplify your answer. Type an expression using y as the variable as​needed.)
c. The system is inconsistent.
Use the graphing tool to graph the lines.

Answer 1

c. The system is inconsistent

Explanation:

Multiplying the first equation by 2 gives ...

4x +2y = 4

Compare this to the second equation:

4x +2y = -5

There are no values of x and y that can satisfy both equations. The system is inconsistent.

_____

The equations describe lines that are parallel and do not intersect.